Finding the Third Proportional to 11,344 and 12,560

Step by Step Solution

1. Step 1: Write the proportion equation
   11,344 : 12,560 = 12,560 : x
2. Step 2: Convert to fraction form
   11,344/12,560 = 12,560/x
3. Step 3: Cross multiply
   11,344x = 12,560 × 12,560
4. Step 4: Simplify right side
   11,344x = 157,753,600
5. Step 5: Solve for x
   x = 157,753,600/11,344
6. Step 6: Final answer
   x = 13,906.35